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Simplifying -3(5v + -1) + 2v = -3(v + 5) Reorder the terms: -3(-1 + 5v) + 2v = -3(v + 5) (-1 * -3 + 5v * -3) + 2v = -3(v + 5) (3 + -15v) + 2v = -3(v + 5) Combine like terms: -15v + 2v = -13v 3 + -13v = -3(v + 5) Reorder the terms: 3 + -13v = -3(5 + v) 3 + -13v = (5 * -3 + v * -3) 3 + -13v = (-15 + -3v) Solving 3 + -13v = -15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 3 + -13v + 3v = -15 + -3v + 3v Combine like terms: -13v + 3v = -10v 3 + -10v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 3 + -10v = -15 + 0 3 + -10v = -15 Add '-3' to each side of the equation. 3 + -3 + -10v = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -10v = -15 + -3 -10v = -15 + -3 Combine like terms: -15 + -3 = -18 -10v = -18 Divide each side by '-10'. v = 1.8 Simplifying v = 1.8
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